Addition of Number Bases

Would you like to know how to add number bases in Mathematics?

In this lesson,

You will see and learn the step-by-step method for the addition of number base.


ALSO SEE: Steps For The Subtraction of Number Base


Take note.

A link for you to practice past exam questions on number base is included at the end of this lesson.

Question on addition of number base

Let’s take an example:

QUESTION:

Add 3145 and 245

1. Position the numbers

Arrange the numbers exactly how you would arrange them in your normal addition.

WORKINGSEXPLANATION
3145
+245
______
You can decide not to include the base beside the numbers but remember the base.

2. Start your addition

Start from the back as you would do in your normal addition.

WORKINGSEXPLANATION
314
+24
_____
___3
4 + 4 = 8

The answer 8 is BIGGER THAN our base 5, so we use repeated division to break 8 down to (1, 3).

Write down the last digit (3) and carry (1) over to the next addition.

3. Continue your addition

WORKINGSEXPLANATION
34
+2 4
_____
_,4 3
1 + 2 = 3
3 + 1 (carried over) = 4

The answer 4 is SMALLER THAN our base 5, so there is no need to break it down.

4. Finish your addition

WORKINGSEXPLANATION
314
+24
_____
343
3 + nothing = 3

The answer 3 is SMALLER THAN our base 5, so there is no need to break it down.

FINAL ANSWER:

3145 + 245

= 3435

Test yourself

Click the link below to practice past questions on Number Base from different Mathematics exam.

  • PRACTICE QUESTIONS

GOOD LUCK.

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